Variational Principles in Dynamics and Quantum Theory

Nonfiction, Science & Nature, Science, Physics, General Physics
Cover of the book Variational Principles in Dynamics and Quantum Theory by Wolfgang Yourgrau, Stanley Mandelstam, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Wolfgang Yourgrau, Stanley Mandelstam ISBN: 9780486151137
Publisher: Dover Publications Publication: April 26, 2012
Imprint: Dover Publications Language: English
Author: Wolfgang Yourgrau, Stanley Mandelstam
ISBN: 9780486151137
Publisher: Dover Publications
Publication: April 26, 2012
Imprint: Dover Publications
Language: English

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form.
After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy.
Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form.
After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy.
Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition.

More books from Dover Publications

Cover of the book Organic Chemistry, Volume One by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book The Sense of Beauty by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Do It Yourself Bushcraft by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Optimal Control and Estimation by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book The VSEPR Model of Molecular Geometry by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book The Birth of Tragedy by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Heraldic Designs for Artists and Craftspeople by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Yekl and the Imported Bridegroom and Other Stories of the New York Ghetto by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Brahms by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book The Four Seasons and Other Violin Concertos in Full Score by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book South Wind by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book The Little Tigress by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book How to Buy Food for Economy and Quality by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Capsule Calculus by Wolfgang Yourgrau, Stanley Mandelstam
Cover of the book Mathematics for the General Reader by Wolfgang Yourgrau, Stanley Mandelstam
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy